Finding the Third Proportional to 159,643 and 213,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,643 : 213,023.50 = 213,023.50 : x
2. Step 2: Convert to fraction form
   159,643/213,023.50 = 213,023.50/x
3. Step 3: Cross multiply
   159,643x = 213,023.50 × 213,023.50
4. Step 4: Simplify right side
   159,643x = 45,379,011,552.25
5. Step 5: Solve for x
   x = 45,379,011,552.25/159,643
6. Step 6: Final answer
   x = 284,253.06